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| Format: | Artículo científico |
| Language: | en |
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Universidad de Moa Dr. Antonio Núñez Jiménez
2010
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| Online Access: | https://www.redalyc.org/articulo.oa?id=223514969001 |
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Table of Contents:
- How to rewrite multivariate random functions as univariate to do cokriging. The theory Adrian Martínez Vargas Ciencias de la Tierra Cokriging heterotopy geostatistics multivariate system regionalized random function In 2005 Martínez-Vargas formulated a pure heterotopic cokriging to estimate a regionalized random function (RF) Z*(x), defined as a linear combination of n univariate RFs Zi(x), which coefficients 1i(x) are indicator variables of a disjoint set of categories i. An apparent contradiction appear in this model, because it assumes that cross covariances exists in the same location despite its heterotopic nature. To evade any confusion or contradiction the multivariate set of RF Zi(x) was rewritten as Z(x,i), been the points (x,i) and (x,j) non-coincident when i and j are unequal. The heterotopy was considered as an omission of Z(x, .) in the data and in the target, non-imposed by the model. The result is then a particular case of the classical cokriging method. With this notation the classical cokriging system was rewritten as the kriging system of the univariate RF Z(x,i), assuming that attached to this RF exists a drif m(x,i,j). The members fl(x,i,j) of m(x,i,j) can be linearly independents or dependents. Through this notation the multivariate formulation of kriging is reduced to an univariate system, the existence of more than one variable or the presence of heterotopy does not introduce extra handling to build the equations of the kriging system, increasing the computational efficiency. 2010 artículo científico 1993-8012 https://www.redalyc.org/articulo.oa?id=223514969001 en http://www.redalyc.org/revista.oa?id=2235 Minería y Geología application/pdf Universidad de Moa Dr. Antonio Núñez Jiménez Minería y Geología (Cuba) Num.2 Vol.26